Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 6 - Section 6.2 - Factoring Trinomials Whose Leading Coefficient is 1 - Exercise Set - Page 437: 104

Answer

Graphing online with desmos.com, we find that the graph of the LHS is not equal to the graph of the RHS. The factorization is incorrect. The correct factorization is $2(x-2)(x+3)$
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Work Step by Step

Graphing online with desmos.com, we find that the graph of the LHS is not equal to the graph of the RHS. The factorization is incorrect. Factoring, extract the gcf, 2 $2(x^{2}+x-6)$ Now, search for two factors of -6, whose sum is $+1...$ ,,, and find $-2$ and $+3.$ Testing the graph of $2(x-2)(x+3)$, we find that the graphs now coincide.
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